Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
57590 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3369 | 1.5137 | 0.8833 | [X:[1.3908], M:[0.8275], q:[0.6379, 0.4196], qb:[0.3621, 0.7529], phi:[0.3046]] | [X:[[0, 2]], M:[[0, -6]], q:[[-1, 2], [-1, 6]], qb:[[1, -2], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1 | t^2.35 + t^2.48 + t^2.74 + t^3. + t^3.26 + t^3.91 + 3*t^4.17 + t^4.43 + t^4.69 + t^4.83 + t^4.96 + 2*t^5.09 + t^5.22 + 3*t^5.35 + 2*t^5.48 + t^5.6 + t^5.74 + t^6. + 3*t^6.26 + t^6.4 + 6*t^6.52 + 2*t^6.65 + t^6.78 + 2*t^6.91 + t^7.04 + 4*t^7.17 + t^7.31 + 5*t^7.43 + t^7.45 + t^7.57 + 4*t^7.69 + t^7.71 + 3*t^7.83 + t^7.95 + 2*t^7.96 + t^8.09 + 2*t^8.22 + 7*t^8.35 + t^8.48 + 7*t^8.6 + 3*t^8.74 + 7*t^8.86 + t^8.88 + t^8.74/y^2 - t^3.91/y - t^4.83/y - t^6.26/y - t^6.4/y - t^6.65/y - t^6.91/y - t^7.17/y - t^7.31/y - t^7.57/y - t^8.09/y + t^8.22/y + t^8.35/y + t^8.48/y + t^8.74/y - t^8.88/y - t^3.91*y - t^4.83*y - t^6.26*y - t^6.4*y - t^6.65*y - t^6.91*y - t^7.17*y - t^7.31*y - t^7.57*y - t^8.09*y + t^8.22*y + t^8.35*y + t^8.48*y + t^8.74*y - t^8.88*y + t^8.74*y^2 | g2^4*t^2.35 + t^2.48/g2^6 + t^2.74/g2^3 + t^3. + g2^3*t^3.26 + t^3.91/g2 + 3*g2^2*t^4.17 + g2^5*t^4.43 + g2^8*t^4.69 + t^4.83/g2^2 + t^4.96/g2^12 + 2*g2*t^5.09 + t^5.22/g2^9 + (g1^3*t^5.35)/g2^5 + g2^4*t^5.35 + (g2^13*t^5.35)/g1^3 + (2*t^5.48)/g2^6 + g2^7*t^5.6 + t^5.74/g2^3 - t^6. + (g1^3*t^6.)/g2^9 + (g2^9*t^6.)/g1^3 + (g1^3*t^6.26)/g2^6 + g2^3*t^6.26 + (g2^12*t^6.26)/g1^3 + t^6.4/g2^7 + (g1^3*t^6.52)/g2^3 + 4*g2^6*t^6.52 + (g2^15*t^6.52)/g1^3 + (2*t^6.65)/g2^4 + g2^9*t^6.78 + (2*t^6.91)/g2 + g2^12*t^7.04 + 4*g2^2*t^7.17 + t^7.31/g2^8 + 5*g2^5*t^7.43 + t^7.45/g2^18 + t^7.57/g2^5 + (g1^3*t^7.69)/g2 + 2*g2^8*t^7.69 + (g2^17*t^7.69)/g1^3 + t^7.71/g2^15 + (3*t^7.83)/g2^2 + g2^11*t^7.95 + (2*t^7.96)/g2^12 - (g1^3*t^8.09)/g2^8 + 3*g2*t^8.09 - (g2^10*t^8.09)/g1^3 + (2*t^8.22)/g2^9 + (g1^3*t^8.35)/g2^5 + 5*g2^4*t^8.35 + (g2^13*t^8.35)/g1^3 + (g1^3*t^8.48)/g2^15 - t^8.48/g2^6 + (g2^3*t^8.48)/g1^3 + (2*g1^3*t^8.6)/g2^2 + 3*g2^7*t^8.6 + (2*g2^16*t^8.6)/g1^3 + (g1^3*t^8.74)/g2^12 + t^8.74/g2^3 + (g2^6*t^8.74)/g1^3 + g1^3*g2*t^8.86 + 5*g2^10*t^8.86 + (g2^19*t^8.86)/g1^3 + t^8.88/g2^13 + t^8.74/(g2^3*y^2) - t^3.91/(g2*y) - t^4.83/(g2^2*y) - (g2^3*t^6.26)/y - t^6.4/(g2^7*y) - t^6.65/(g2^4*y) - t^6.91/(g2*y) - (g2^2*t^7.17)/y - t^7.31/(g2^8*y) - t^7.57/(g2^5*y) - (g2*t^8.09)/y + t^8.22/(g2^9*y) + (g2^4*t^8.35)/y + t^8.48/(g2^6*y) + t^8.74/(g2^3*y) - t^8.88/(g2^13*y) - (t^3.91*y)/g2 - (t^4.83*y)/g2^2 - g2^3*t^6.26*y - (t^6.4*y)/g2^7 - (t^6.65*y)/g2^4 - (t^6.91*y)/g2 - g2^2*t^7.17*y - (t^7.31*y)/g2^8 - (t^7.57*y)/g2^5 - g2*t^8.09*y + (t^8.22*y)/g2^9 + g2^4*t^8.35*y + (t^8.48*y)/g2^6 + (t^8.74*y)/g2^3 - (t^8.88*y)/g2^13 + (t^8.74*y^2)/g2^3 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
58978 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3296 | 1.5035 | 0.8844 | [X:[1.3819], M:[0.8543, 1.0728], q:[0.6424, 0.4062], qb:[0.3576, 0.7395], phi:[0.3091]] | t^2.29 + t^2.56 + t^3. + 2*t^3.22 + t^3.93 + 3*t^4.15 + t^4.36 + t^4.58 + t^4.85 + t^5.07 + t^5.13 + 3*t^5.29 + 2*t^5.51 + t^5.56 + t^5.78 - t^3.93/y - t^4.85/y - t^3.93*y - t^4.85*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
47923 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4548 | 1.6393 | 0.8875 | [X:[1.3494], M:[0.9519], q:[0.5, 0.524], qb:[0.5, 0.524], phi:[0.3253]] | t^2.856 + t^2.928 + t^3. + 2*t^3.072 + t^3.976 + 3*t^4.048 + t^4.12 + t^4.952 + 2*t^5.024 + t^5.096 + 2*t^5.548 + 2*t^5.62 + t^5.712 + t^5.784 + 2*t^5.856 + t^5.928 - t^6. - t^3.976/y - t^4.952/y - t^3.976*y - t^4.952*y | detail |